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Equation of Circles (Repeat)
Quiz
•
Mathematics
•
4th Grade
•
Medium
Standards-aligned
LAY HONG THIO
Used 22+ times
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the equation of a circle with centre (7, 0) with radius 3?
(x - 7)2 + y2 = 9
x2 + (y - 7)2 = 9
(x - 7)2 + y2 = 3
x2 + (y - 7)2 = 3
Tags
CCSS.HSG.GPE.A.1
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What are the coordinates of the centre and the radius of the circle with equation (x - 4)2 + (y - 3)2 = 25 ?
Centre (4,3), Radius = 25 units
Centre (-4,-3), Radius = 25 units
Centre (4,3), Radius = 5 units
Centre (-4,-3), Radius = 5 units
Tags
CCSS.HSG.GPE.A.1
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which circle is identical to x2 + y2 - 4x + 12y - 8=0?
(x + 2)2 + (y - 6)2 = 48
(x - 2)2 + (y + 6)2 = 48
(x - 6)2 + (y - 2)2 = 48
(x + 2)2 + (y - 6)2 = 48
Tags
CCSS.HSG.GPE.A.1
4.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
The end-points of the diameter of a circle are (3,1) and (9,5).
What is the equation of the circle?
(x − 3)2 + (y − 2)2 = 1
(x − 3)2 + (y − 2)2 = 45
(x − 5)2 + (y − 9)2 = 13
(x − 6)2 + (y − 3)2 = 13
Tags
CCSS.HSG.GPE.A.1
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The centre of a circle is (−8, 3) and (2, −5) lies on the circle.
Find the equation of the circle.
(x + 8)2 + (y − 3)2 = 144
(x − 8)2 + (y + 3)2 = 144
(x + 8)2 + (y − 3)2 = 164.
(x − 8)2 + (y + 3)2 = 164
Tags
CCSS.HSG.GPE.A.1
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find an equation of the circle that is tangent to both the x and y axes, with a radius of 4 and whose centre is located in the second quadrant.
(x + 4)2 + (y - 4)2 = 16
(x - 4)2 + (y + 4)2 = 16
(x + 4)2 + (y - 4)2 = 4
(x - 4)2 + (y + 4)2 = 4
Tags
CCSS.HSG.GPE.A.1
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
The equation of a circle is given by x 2 + 4x + y 2 - 8y = 5.
Is the point A(-3 , 8) inside, outside or on the circle?
inside
outside
on the circumference
Tags
CCSS.HSG.GPE.A.1
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